Variational approach for (3+1)-dimensional shallow water wave equation
This paper focuses on the variational approach for solving the (3+1)-dimensional shallow water wave equation. Some families of soliton-type solutions and periodic wave solutions are given, and some remarks about the variational formulation for the special (2+1)-dimensional shallow water wave equatio...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-01-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723010835 |
| _version_ | 1797350894458634240 |
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| author | Junfeng Lu |
| author_facet | Junfeng Lu |
| author_sort | Junfeng Lu |
| collection | DOAJ |
| description | This paper focuses on the variational approach for solving the (3+1)-dimensional shallow water wave equation. Some families of soliton-type solutions and periodic wave solutions are given, and some remarks about the variational formulation for the special (2+1)-dimensional shallow water wave equation in [Gu, et al. Results in Physics, 45 (2023) 106213] are provided. Numerical results are presented to show the propagation behaviour. |
| first_indexed | 2024-03-08T12:52:36Z |
| format | Article |
| id | doaj.art-a6282516c8ee437ab113ed3ea6e432fe |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-08T12:52:36Z |
| publishDate | 2024-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-a6282516c8ee437ab113ed3ea6e432fe2024-01-20T04:45:19ZengElsevierResults in Physics2211-37972024-01-0156107290Variational approach for (3+1)-dimensional shallow water wave equationJunfeng Lu0Department of Statistics, Zhejiang Gongshang University Hangzhou College of Commerce, Hangzhou, 310018, PR ChinaThis paper focuses on the variational approach for solving the (3+1)-dimensional shallow water wave equation. Some families of soliton-type solutions and periodic wave solutions are given, and some remarks about the variational formulation for the special (2+1)-dimensional shallow water wave equation in [Gu, et al. Results in Physics, 45 (2023) 106213] are provided. Numerical results are presented to show the propagation behaviour.http://www.sciencedirect.com/science/article/pii/S2211379723010835Variational approachSolitonWaveSolution |
| spellingShingle | Junfeng Lu Variational approach for (3+1)-dimensional shallow water wave equation Results in Physics Variational approach Soliton Wave Solution |
| title | Variational approach for (3+1)-dimensional shallow water wave equation |
| title_full | Variational approach for (3+1)-dimensional shallow water wave equation |
| title_fullStr | Variational approach for (3+1)-dimensional shallow water wave equation |
| title_full_unstemmed | Variational approach for (3+1)-dimensional shallow water wave equation |
| title_short | Variational approach for (3+1)-dimensional shallow water wave equation |
| title_sort | variational approach for 3 1 dimensional shallow water wave equation |
| topic | Variational approach Soliton Wave Solution |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723010835 |
| work_keys_str_mv | AT junfenglu variationalapproachfor31dimensionalshallowwaterwaveequation |